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         Calculus:     more books (100)
  1. Precalculus: Mathematics for Calculus, Enhanced Review Edition (with CD-ROM and iLrn? Printed Access Card) by James Stewart, Lothar Redlin, et all 2007-02-05
  2. Quick Calculus: A Self-Teaching Guide, 2nd Edition by Daniel Kleppner, Norman Ramsey, 1985-10-28
  3. Essential Calculus: Early Transcendentals by James Stewart, 2006-03-01
  4. Calculus by Ron Larson, 2000-11
  5. Homework Helpers: Pre-Calculus by Denise, Ph.D. Szecsei, 2007-05-30
  6. Study Guide for Stewart's Single Variable Calculus, 6th by Richard St. Andre, 2007-05-23
  7. Single Variable Calculus: Early Transcendentals Student Solutions Manual by Jon Rogawski, 2007-08-09
  8. Student Solutions Manual for Stewart/Redlin/Watson's Precalculus: Mathematics for Calculus, 5th by James Stewart, Lothar Redlin, et all 2005-10-07
  9. Calculus: Concepts and Contexts (Stewart's Calculus Series) by James Stewart, 2009-03-09
  10. Barron's AP Calculus with CD-ROM by Shirley O. Hockett, David Bock, 2010-02-01
  11. Calculus: Early Transcendental Functions by Ron Larson, Robert P. Hostetler, et all 2006-01-03
  12. Advanced Calculus by David Widder, 2009-01-23
  13. Calculus With Analytic Geometry by George Simmons, 1996-10-01
  14. The Calculus of Friendship: What a Teacher and a Student Learned about Life while Corresponding about Math by Steven Strogatz, 2009-08-03

61. Advanced Calculus And Analysis MA1002
Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs.
http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html
Next: Foreword Up: MA2001 Home Page Contents Index
Advanced Calculus and Analysis
Ian Craw

  • Differentiation of Functions of Several Variables
  • 62. Simone Martini
    University of Bologna, Italy Type systems for programming languages, logic in computer science, lambda-calculus.
    http://www.cs.unibo.it/~martini/
    home contact teaching publications ... Dipartimento di Scienze dell'Informazione Simone Martini Simone Martini Professor of Computer Science Simone Martini received the Laurea degree in Scienze dell'Informazione and the Dottorato di Ricerca in Informatica (Ph.D. in Computer Science) from . He has been visitor at Digital Equipment Corporation, Systems Research Center in Palo Alto, at Stanford University , Department of Computer Science, and at His research interests are in the logical foundations of programming languages. He has written papers in lambda-calculus, type theory, linear and resource logics.

    63. Shreve
    Notes in probability theory prepared by Prasad Chalasani and Somesh Jha, with a strong bias towards Category Science Math Probability Teaching Resources......Steven Shreve's Lectures on Stochastic calculus and Finance. New Risk Waters CourseStochastic calculus for Derivatives Frankfurt/London/New York, March 2003.
    http://www.cs.cmu.edu/~chal/shreve.html
    Steven Shreve 's Lectures on
    Stochastic Calculus and Finance

    Prepared by Prasad Chalasani and Somesh Jha New Risk Waters Course: Stochastic Calculus for Derivatives: Frankfurt/London/New York, March 2003 In the table of contents below, click on a chapter name to down-load that chapter (Postscript).
    You may also down-load/view the entire document (364 pages) in Postscript or PDF format. If the links don't work, try re-loading this page.
    PC/Mac Users: You may need to download a Postscript viewer or a PDF viewer to view these notes.

    FastCounter by LinkExchange
    Table of contents
    Probability Theory
    • Binomial asset pricing Finite probability spaces Lebesgue measure, lebesgue integral General probability spaces Independence
    Conditional Expectation
    • Binomial model for stock prices Information Conditional expectation Martingales
    Arbitrage Pricing
    • Binomial pricing General one-step APT Risk-neutral probability measure, portfolio process Simple European derivative securities Completeness of binomial model
    Markov Property
    • Binomial model pricing and hedging Computational issues Markov processes Showing that a process is Markov Applications to exotic options
    Stopping times, American Options

    64. `The Calculus Of Logic' By George Boole
    Seminal paper of 1848 available in various formats.Category Science Math History People Boole, George......`The calculus of Logic' by George Boole. The calculus of Logic by George Boole,first published in The Cambridge and Dublin Mathematical Journal , vol.
    http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/
    `The Calculus of Logic' by George Boole
    The Calculus of Logic by George Boole, first published in The Cambridge and Dublin Mathematical Journal , vol. 3 (1848), is available here in the following formats: Links: D.R. Wilkins
    dwilkins@maths.tcd.ie
    ...
    Trinity College, Dublin

    65. Transferring You To The Math Resource Pages
    A mathematics reference collection of K through 14 math tables, facts, definitions, formulas and explanations from general math through college calculus.
    http://www.hoxie.org/math/title.htm
    Transferring you to the new math site location ... www.colbycc.org
    click here if you are not automatically
    transferred to the Math Pages

    http://www.colbycc.org/www/math/math.htm
    the Math Pages are now located at: http://www.colbycc.org/www/math/math.htm

    66. The Calculus Of Logic
    The calculus of Logic. George Boole. Cambridge and Dublin Mathematical Journal Vol.III (1848), pp. 18398. Laws of Syllogism deduced from the Elective calculus.
    http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/CalcLogic.html
    The Calculus of Logic
    George Boole Cambridge and Dublin Mathematical Journal
    Vol. III (1848), pp. 183-98 In a work lately published I have exhibited the application of a new and peculiar form of Mathematics to the expression of the operations of the mind in reasoning. In the present essay I design to offer such an account of a portion of this treatise as may furnish a correct view of the nature of the system developed. I shall endeavour to state distinctly those positions in which its characteristic distinctions consist, and shall offer a more particular illustration of some features which are less prominently displayed in the original work. The part of the system to which I shall confine my observations is that which treats of categorical propositions, and the positions which, under this limitation, I design to illustrate, are the following: (1) That the business of Logic is with the relations of classes, and with the modes in which the mind contemplates those relations. (2) That antecedently to our recognition of the existence of propositions, there are laws to which the conception of a class is subject, - laws which are dependent upon the constitution of the intellect, and which determine the character and form of the reasoning process. (3) That those laws are capable of mathematical expression, and that they thus constitute the basis of an interpretable calculus.

    67. Calculus History
    The main ideas of calculus developed over a very long period of time. Read about some of the mathematicians who contributed to this field of mathematics.
    http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/The_rise_of_calculus.html
    A history of the calculus
    Analysis index History Topics Index
    The main ideas which underpin the calculus developed over a very long period of time indeed. The first steps were taken by Greek mathematicians. To the Greeks numbers were ratios of integers so the number line had "holes" in it. They got round this difficulty by using lengths, areas and volumes in addition to numbers for, to the Greeks, not all lengths were numbers. Zeno of Elea , about 450 BC, gave a number of problems which were based on the infinite. For example he argued that motion is impossible:- If a body moves from A to B then before it reaches B it passes through the mid-point, say B of AB . Now to move to B it must first reach the mid-point B of AB . Continue this argument to see that A must move through an infinite number of distances and so cannot move. Leucippus Democritus and Antiphon all made contributions to the Greek method of exhaustion which was put on a scientific basis by Eudoxus about 370 BC. The method of exhaustion is so called because
    one thinks of the areas measured expanding so that they account for more and more of the required area.

    68. THE CALCULUS PAGE PROBLEMS LIST
    THE calculus PAGE PROBLEMS LIST. Problems and Solutions Developed by DA Kouba.And brought to you by ecalculus.org. Beginning Differential calculus
    http://www.math.ucdavis.edu/~kouba/ProblemsList.html
    THE CALCULUS PAGE PROBLEMS LIST
    Problems and Solutions Developed by :
    D. A. Kouba
    And brought to you by :
    eCalculus.org
    Beginning Differential Calculus :
    Beginning Integral Calculus :

    69. On The Pi-Calculus And Linear Logic - Bellin, Scott (ResearchIndex)
    (CiteSeer) Article by Bellin and Scott showing how classical linear logic may be interpreted in the pi calculus, thus supporting Abramksy's `Proofs as Processes' thesis.
    http://citeseer.nj.nec.com/bellin92calculus.html
    On the pi-Calculus and Linear Logic (1994) (Make Corrections) (4 citations)
    G. Bellin, P.J. Scott Theoretical Computer Science
    Home/Search
    Context Related View or download:
    profs.sci.univr.it/~be
    PICALCPAPER.ps
    Cached: PS.gz PS PDF DjVu ... Help
    From: profs.sci.univr.it/~bell papers (more)
    Homepages: G.Bellin P.Scott
    HPSearch
    (Update Links)
    Rate this article: (best)
    Comment on this article
    (Enter summary)
    Abstract: We detail Abramsky's "proofs-as-processes" paradigm for interpreting classical linear logic (CLL) [13] into a "synchronous" version of the -calculus recently proposed by Milner [27, 28]. The translation is given at the abstract level of proof structures. We give a detailed treatment of information flow in proof-nets and show how to mirror various evaluation strategies for proof normalization. We also give Soundness and Completeness results for the process-calculus translations of various... (Update) Context of citations to this paper: More called proof nets, and the dynamics of their normalization can be used to express some aspects of concurrency [Abramsky 1993, Bellin Scott 1992 , Lafont 1989, Lafont 1990] The Curry Howard Isomorphism also states that the types of programs can be seen as formulas, and the ...of) LL into stark relief.

    70. THE CALCULUS PAGE
    THE calculus PAGE HAS A NEW ADDRESS ! See http//ecalculus.Org.
    http://www.math.ucdavis.edu/~kouba/CalculusPage.html
    THE CALCULUS PAGE HAS A NEW ADDRESS !
    See http://eCalculus.Org

    71. Graphing Software For Data, Algebra, Calculus And Trigonometry And Solutions Of
    Enter first and second order nonlinear ordinary differential in analytical form. The program will generate a numerical solution to the equations and graph multiple curves on a single graph. Can also be used for algebra and calculus formulas. Includes illustrations and free demo.
    http://www.hanleyinnovations.com/sgstandard.html
    Software
    Airfoil Analysis

    VisualFoil

    VisualFoil NACA

    VisualFoil Lite
    ...
    Lite
    Sailboat
    Sailing-

    Aerodynamics
    Graphing Tools
    Graph Paper

    Science Graphs
    Smocking
    SmockSoft
    Perpetual Paper Calculators The Center of Gravity Calculator. eBooks Aerodynamics in Plain English. Services Workshops Consulting Purchase OnLine Mail Order Contact Dr. P. Hanley Tel:(352) 687-4466 PO Box 831514 Ocala, FL 34483 Dr. Hanley's Science Graphs Written by Patrick Hanley, Ph.D. Version: 2.0 Standard Standard Price Download Size: 2.73 MB Requirements Windows 95, 98, NT or 2000 Download Now!: Purchase OnLine. Order Toll Free Mail Order: Order Form. Technical: E-mail or (352) 687-4466 Qwerks, Inc . Secure On-line Purchase. Dr. Hanley's Science Graphs tm is an easy to use software package for graphing equations and data using your PC. The new version of Science Graphs can be used to generate numerical solutions of first and second order non-linear ordinary differential equations. This feature is Ideal for checking your analytical solutions against Science Graph's Numerical Answers. However, it can be used to solve problems that are too difficult to obtain by hand calculations. The software is useful for algebra trigonometry calculus , physics, differential equations and engineering . Science Graphs can also be used to graph up to 1,000 x-y data points from an ASCII file.

    72. Free Textbook Tensor Calculus And Continuum Mechanics
    Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.Category Science Math Publications Online Texts...... The finished work is titled INTRODUCTION TO TENSOR calculus and CONTINUUM MECHANICSIn Part One I have included introductory topics in tensors, differential
    http://www.math.odu.edu/~jhh/counter2.html
    OLD DOMINION UNIVERSITY COLLEGE OF SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS
    The following counter indicates the number of visitors to this site since April 2001
    Click on counter to see statistics
    John H. Heinbockel
    Professor Emeritus
    Department of Mathematics and Statistics
    Old Dominion University
    Norfolk, Virginia 23529
    I have completed writing what I consider to be an introductory text for applied mathematicians, physicists and engineers. The finished work is titled
    INTRODUCTION TO TENSOR CALCULUS and CONTINUUM MECHANICS

    In Part One I have included introductory topics in tensors, differential geometry and relativity. In Part Two is presented basics from the areas of continuum mechanics (dynamics, elasticity, fluids, electricity, magnetism). The final section covers an introduction to quaternions, multivectors and Clifford algebra.
    You can purchase the final version of this project by Clicking Here Catalogue number is 01-0535.
    ISBN number is 1553691334
    The free version below represents about 80% of the final version.
    From this free version you can see what you are getting.

    73. Calculus Animations
    Click here.
    http://www.math.odu.edu/cbii/calcanim/
    Click here
    Click here

    74. Calculi For Mobile Processes
    Books. The Picalculus - A Theory of Mobile Processes (by Davide Sangiorgi and DavidWalker), June 2001. A pi-course introducing the -calculus, given at SICS.
    http://lamp.epfl.ch/mobility/
    Calculi for Mobile Processes
    http://move.to/mobility
    (redirection service with advertising)
    ... the moose have retired ... You may quickly observe, what's or on this page,
    but a changelog of this page is also provided separately. Top [Intro] People Groups Instances Tools ... Miscellaneous
    Discussion Forum
    • Moca Mo bile ca lculi) - A moderated mailing list on models for mobility
    Bibliographies
    Books
    Introductory Texts and Tutorials

    75. Page Of Yves Lafont
    University of Marseille II Linear logic, lambda calculus, proof theory, term rewriting. Lafont invented the theory of interaction nets, an elegant theory of graph rewriting.
    http://iml.univ-mrs.fr/~lafont/welcome.html
    Yves LAFONT
    professor at
    • research at IML ) in the LDP group ( Logique de la programmation teaching at in the
    address : office : - phone : - fax : - e-mail : lafont@iml.univ-mrs.fr Research areas : proof theory and applications geometry of computation Papers Home page in french (with more information)

    76. Pitt Distance Learning Program
    Internet calculus. UNIVERSITY OF PITTSBURGH. College in High School.This is the home Other calculus Links at Pitt. calculus Home Page The
    http://calculus.math.pitt.edu/~calcweb/

    77. Lee Lady: Topics In Calculus
    A set of downloadable lectures.
    http://www.math.hawaii.edu/~lee/calculus/#Series-Sol
    Topics in Calculus
    Professor Lee Lady
    University of Hawaii
    In my opinion, calculus is one of the major intellectual achievements of Western civilization - in fact of world civilization. Certainly it has had much more impact in shaping our world today than most of the works commonly included in a Western Civilization course books such as Descartes's Discourse on Method or The Prince by Machiavelli. But at most universities, we have taken this magnificent accomplishment of the human intellect and turned it into a boring course. Sawyer's little book What Is Calculus About? (Another book in the same vein, but more recent, is The Hitchhiker's Guide to Calculus by Michael Spivak.) For many of us mathematicians, calculus is far removed from what we see as interesting and important mathematics. It certainly has no obvious relevance to any of my own research, and if it weren't for the fact that I teach it, I would long ago have forgotten all the calculus I ever learned. But we should remember that calculus is not a mere ``service course.'' For students, calculus is the gateway to further mathematics. And aside from our obligation as faculty to make all our courses interesting, we should remember that if calculus doesn't seem like an interesting and worthwhile subject to students, then they are unlikely to see mathematics as an attractive subject to pursue further.

    78. QuickMath Automatic Math Solutions
    QuickMath allows students to get instant solutions to all kinds of math problems,from algebra and equation solving right through to calculus and matrices.
    http://www.quickmath.com/www02/pages/modules/calculus/index.shtml
    Algebra
    Expand

    Factor

    Simplify
    ...
    Determinant
    Graphs
    Equations

    Inequalities

    Numbers
    Percentages

    Scientific notation

    Please support QuickMath by making a donation.
    Calculus
    The calculus section of QuickMath allows you to differentiate and integrate almost any mathematical expression.
    What is calculus?
    Calculus is a vast topic, and it forms the basis for much of modern mathematics. The two branches of calculus are differential calculus and integral calculus. Differential calculus is the study of rates of change of functions. At school, you are introduced to differential calculus by learning how to find the derivative of a function in order to determine the slope of the graph of that function at any point. Integral calculus is often introduced in school in terms of finding primitive functions (indefinite integrals) and finding the area under a curve (definite integrals).
    Differentiate
    The differentiate command allows you to find the derivative of an expression with respect to any variable. In the advanced section, you also have the option of specifying arbitrary functional dependencies within your expression and finding higher order derivatives. The differentiate command knows all the rules of differential calculus, including the product rule, the quotient rule and the chain rule. Go to the Differentiate page
    Integrate
    The integrate command can be used to find either indefinite or definite integrals. If an indefinite integral (primitive function) is sought but cannot be found for a particular function, QuickMath will let you know. Definite integrals will always be given in their exact form when possible, but failing this QuickMath will use a numerical method to give you an approximate value.

    79. Free Math Help
    Provides games, activities, lessons, calculators for students studying algebra, geometry, calculus, or trigonometry including a daily problem.
    http://www.freemathhelp.com/

    80. UBC Calculus Online Homepage
    University of British Columbia course notes. Covers functions, derivatives and applications of derivative Category Science Math calculus......The UBC calculus Online Homepage. Welcome to UBC calculus Online.This site is an online supplement to Math 100, Sections 103, 104
    http://www.ugrad.math.ubc.ca/coursedoc/math100/
    The UBC Calculus Online Homepage
    Welcome to UBC Calculus Online. This site is an online supplement to Math 100, Sections 103, 104, 107 and 109, being taught within the University of British Columbia Department of Mathematics. Everyone is welcome and feedback is appreciated.
    Who We Are
    Course Notes
    Labs
    In class demonstrations
    Announcements
    Resources
    Links to some other interesting sites
    Please send us your comments.

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